Reflections and Dilations of Absolute Value Functions

Question 1

Determine the domain and range of the function f(x) = –|x| + 2.

Revolt · Accepted Answer

The domain of the function is .: all real numbers; The range of the function is .: all numbers less than or equal to 2

Question 2

Determine the domain and range of the function f(x) = –|x| + 2.

Revolt · Accepted Answer

✔ all real numbers; The domain of the function is .: all real numbers; The range of the function is .: all numbers less than or equal to 2

Question 3

X all real numbersall numbers greater than or equal to 2✔ all numbers less than or equal to 2

Revolt · Accepted Answer

✔ all numbers less than or equal to 2

Question 4

Which function is represented by the graph?

Revolt · Accepted Answer

–|x| + 3

Question 5

The graph of f(x) = |x| has been stretched by a factor of 2.5. If no other transformations of the function have occurred, which point lies on the new graph?

Revolt · Accepted Answer

(–3, 7.5)

Question 6

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.The parent function and this function open in the same direction.The parent function and this function have the same range.The parent function and this function have the same domain.The range of the function is all real numbers less than or equal to –2.The domain of the function is all real numbers greater than or equal to –2.There are no values from the domain of the parent function that are also in the domain of this function.

Revolt · Accepted Answer

The parent function and this function have the same domain.; The range of the function is all real numbers less than or equal to –2.

Reflections and Dilations of Absolute Value Functions Answers

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